Good definitions are important in geometry (and almost every area) 

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Presentation transcript:

Good definitions are important in geometry (and almost every area)  Good definitions are important in geometry (and almost every area)  It’s important that everyone understands what you’re talking about.

A good definition should: . Use clear, easily. understood terms.  A good definition should:  Use clear, easily understood terms.  Be precise.  Be reversible.

To make definitions reversible, we typically use biconditionals.  To make definitions reversible, we typically use biconditionals.  Uses the phrase if and only if  Symbols , , or iff.  A  B means A  B and B  A

A ray is an angle bisector if and only if it divides an angle into two congruent angles. Write this as two if/then statements.

This means … If a ray is an angle bisector, then it divides an angle into 2 congruent angles. If it divides an angle into 2 congruent angles, then a ray is an angle bisector.

You can write a biconditional if a statement and its converse are both true.  This is why definitions are typically written as biconditionals.

Consider this example: A candy is an M&M if and only if it melts in your mouth but not in your hands.

. Is this statement true. . Is it a good definition of an. M&M.   Is this statement true?  Is it a good definition of an M&M?  Why or why not?

What could be a good definition of Bishop Garrigan High School?

REMEMBER biconditional (if and only if) characteristics of a good definition